The value of x is –7.
Solution:
Given expression:
Let us factor 
.
Substitute this in the fraction.
To make the denominator same, multiply and divide the first term by (x +1).
Denominators are same, you can add the fractions.
Cancel the common term in the numerator and denominator.
Multiply the fractions.
The expression is simplified to one rational expression.
Suppose the expression is equal to 0.
Do cross multiplication.
Any number or variable multiplied by 0 gives 0.
Subtract 7 from both sides of the equation.
x = –7
The value of x is –7.
Answers:
1) The dependent variable is the boiling point of water and the independent variable is the altitude.
2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.
Explanation:
1) given
Table:
<span>Altitude
(in thousands of feet) Boiling Point of Water (Fahrenheit)
(sea level) 0
212
0.5 211.1
1.0 210
2.0 208.4
2.5 207.5
3.0 206.6
4.0 204.8
4.5 203.9
2) The independent variable is the input of the function, and the dependent variable is the output of the function.
The input determines the output once the rule is established.
Therefore:
a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.
3) The slope of the graph would be:
change in the dependent variable change in boiling point
slope = --------------------------------------------------- = ---------------------------------
</span> change in the independent variable change in altitude
Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.
If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.
If the slope is negative, means that as the altitude increase the boiling point of water decrease.
You can calculate the slope using any two pair of points (data)
212 - 210 2
slope =---------------- = ------- = - 2
0 - 1 - 1
or, using other pair of points:
204.8 - 210 -5.2
slope = --------------------- = --------- = -2.6
4.0 - 2.0 2.0
As you see, the slope is not constant. So, the function is not linear.
I’m sorry this isn’t an answer but what in the world are y’all learning what is this ?! i’m in high school & i don’t know this
Answer:
Quotient = 3
Step-by-step explanation:
We need to solve the given expression :
It can be done as follows :
As, 
So,
Hence, the required quotient is 3.
